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Two-Fluid Dark Energy Models in Bianchi Type-III Universe with Variable Deceleration Parameter

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Abstract

Some new exact solutions of Einstein’s field equations have come forth within the scope of a spatially homogeneous and anisotropic Bianchi type-III space-time filled with barotropic fluid and dark energy by considering a variable deceleration parameter. We consider the case when the dark energy is minimally coupled to the perfect fluid as well as direct interaction with it. Under the suitable condition, the anisotropic models approach to isotropic scenario. We also find that during the evolution of the universe, the equation of state (EoS) for dark energy ω (de), in both cases, tends to −1 (cosmological constant, ω (de)=−1), by displaying various patterns as time increases, which is consistent with recent observations. The cosmic jerk parameter in our derived models are in good agreement with the recent data of astrophysical observations under appropriate condition. It is observed that the universe starts from an asymptotic Einstein static era and reaches to the ΛCDM model. So from recently developed Statefinder parameters, the behaviour of different stages of the universe has been studied. The physical and geometric properties of cosmological models are also discussed.

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Acknowledgements

The authors (A. Pradhan & R. Jaiswal) would like to thank the Inter-University Centre for Astronomy and Astrophysics (IUCAA), Pune, India for providing facility & support where part of this work was done. The authors (A. Pradhan & R. Jaiswal) also gratefully acknowledge the financial support (Project No. C.S.T./D-1536) in part by State Council of Science and Technology, Uttar Pradesh, India. The authors also thank the anonymous referee for his utilitarian suggestions.

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  1. Laboratory of Computational Sciences and Mathematical Physics, Institute for Mathematical Research, University Putra Malaysia, 43400 UPM, Serdang, Selangor D.E., Malaysia

    Hassan Amirhashchi

  2. Department of Physics, Mahshahr Branch, Islamic Azad University, Mahshahr, Iran

    Hassan Amirhashchi

  3. Department of Mathematics, Hindu Post-graduate College, Zamania, 232 331, Ghazipur, India

    Anirudh Pradhan & Rekha Jaiswal

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  1. Hassan Amirhashchi
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Amirhashchi, H., Pradhan, A. & Jaiswal, R. Two-Fluid Dark Energy Models in Bianchi Type-III Universe with Variable Deceleration Parameter. Int J Theor Phys 52, 2735–2752 (2013). https://doi.org/10.1007/s10773-013-1566-7

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